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Lyapunov-based Consistent Discretisation of Stable Homogeneous Systems

Tonametl Sanchez 1 Andrey Polyakov 2 Denis Efimov 2
2 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this paper we propose a discretisation scheme for asymptotically stable homogeneous systems. This scheme exploits the information provided by a homogeneous Lyapunov function of the system. The main features of the scheme are: 1) the dis-cretisation method is explicit and; 2) the discrete-time system preserves the asymptotic stability, the convergence rate, and the Lyapunov function of the original continuous-time system.
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https://hal.inria.fr/hal-02972714
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Submitted on : Tuesday, October 20, 2020 - 3:38:39 PM
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Tonametl Sanchez, Andrey Polyakov, Denis Efimov. Lyapunov-based Consistent Discretisation of Stable Homogeneous Systems. International Journal of Robust and Nonlinear Control, Wiley, In press. ⟨hal-02972714⟩

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